Dynamic Deformation of Uniform Elastic Two-Layer Objects

This thesis presents a two-layer uniform facet elastic ob ject for real-time simulation based on physics modeling method. It describes the elastic ob ject procedural modeling algorithm with particle system from the simplest one-dimensional object, to more complex two-dimensional and three-dimensional ob jects. The double-layered elastic object consists of inner and outer elastic mass spring surfaces and compressible internal pressure. The density of the inner layer can be set different from the density of the outer layer; the motion of the inner layer can be opposite to the motion of the outer layer. These special features, which cannot be achieved by a single layered object, result in improved imitation of a soft body, such as tissue's liquidity non-uniform deformation. The construction of the double-layered elastic ob ject is closer to the real tissue's physical structure. The inertial behavior of the elastic ob ject is well illustrated in environments with gravity and collisions with walls, ceiling, and floor. The collision detection is defined by elastic collision penalty method and the motion of the object is guided by the Ordinary Differential Equation computation. Users can interact with the modeled ob jects, deform them, and observe the response to their action in real time.